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If tan theta+1/(tan theta)=2, then show ...

If `tan theta+1/(tan theta)=2`, then show that `ta^(2)=1/(tan^(2)theta)=`

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` tan theta + 1/(tan theta) = 2` …(Given)… (1)
Squaring both the sides, we get,
`(tan theta + 1/tantheta )^2 = (2)^2`
`therefore tan^2 theta+2(tan theta)((1)/(tan theta)) + 1/(tan^2 theta)=4`
....[`therefore (a-b)^2 = a^2 + 2ab + b^2 `]
`therefore tan^2theta + 2+ 1/(tan^2 theta) = 4`
`therefore tan^2theta + 1/(tan^2 theta) = 4-2`
`therefore tan^2theta + 1/(tan^2 theta) =2`.
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